臺灣博碩士論文加值系統

本篇論文的研究目標是計算多層膜中空光波導的慢光(Slow light)現象。多層膜結構是由週期性排列的介電材料組合而成，目的在使部分頻段的入射光無法穿透，亦即光無法存在於光子晶體之禁止頻帶。我們在多層膜結構中設計一缺陷通道，使原本的禁止帶中產生可在此通道內傳遞的頻寬。我們計算可在此缺陷通道中傳遞的光的群速度，並改變不同的結構參數，如多層膜的膜厚比、材料的折射率比及極化方向等，觀察何種結構組合最能有效減慢光速。本論文最佳的結果可將光速減慢至1200 m/s。

The purpose of this work is to study the slow light phenomenon in a hollow waveguide formed by periodic layered dielectric materials. Light within the forbidden band gap is not allowed to propagate in the periodic layered structure. An air channel is built in the medium where the light becomes allowed to transmit through this channel. The group velocity(vg) can be obtained by calculating the slope of the allowed band in the band structure. We change different parameters of structure such as the thickness of multilayer films and refractive index of material to study the group velocity of the structures. The minimum velocity of 1200m/s can be obtained.

摘要 I
Abstract II
目錄 III
圖目錄 V
表目錄 VIII
第一章 簡介 1
1.1 光子晶體 1
1.2 中空光波導 2
1.3 慢光(Slow light) 5
1.4 結論與研究動機 11
第二章 中空光波導設計原理 12
2.1 平面波展開法 12
2.2 布洛赫波與能帶結構 14
2.3 布拉格反射器 19
2.4 群折射率(ng)的計算 20
2.5 有限時域差分法 23
2.6 結論 28
第三章 中空慢光波導 29
3.1 模擬結構介紹 29
3.2 模擬結果分析 33
3.3 具缺陷結構之中空波導 38
3.4 有限時域差分法模擬結果 40
3.5 結論 44
第四章 結論與未來工作 45
4.1 本論文總結 45
4.2 未來工作 47
文獻參考 52

[1] E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics", Phys. Rev. Lett., vol. 58, pp. 2059, 1987.
[2] S. John, "Strong localization of photons in certain disordered dielectric superlattices", Phys. Rev. Lett., vol. 58, p. 2486, 1987.
[3] M. H. MacDougal, H. Zhao, P. D. Dapkus, M. Ziari, and W. H. Steier,"Wide-bandwidth distributed Bragg reflectors using oxide/GaAs multilayers", Electron. Lett., vol. 30, p. 1147, 1994.
[4] D. W. Prather, J. Murakowski, S. Shi, S. Venkataraman, A. Sharkawy,
C. Chen, and D. Pustai, "High-efficiency coupling structure for a single-line-defect photonic crystal waveguide", Opt. Lett., vol. 27, p. 1601, 2002.
[5] H. G. Park, S. H. Kim, S. H. Kwon, Y. G. Ju, J. K. Yang, J. H. Baek, S. B. Kim, and Y. H. Lee, "Electrically driven single-cell photonic crystal laser", Science, vol. 305, p. 1444, 2004.
[6] K. N. Hui, W. Y. Fu, W. N. Ng, C. H. Leung, P. T. Lai, K. K. Y. Wong, and H. W. Choi, "Polychromatic light-emitting diodes with a fluorescent nanosphere opal coating", Nanotechnology, vol. 19, p. 355203, 2008.
[7] H. T. Chien, C. Lee, H. K. Chiu, K. C. Hsu, C. C. Chen, J. A. Ho, and C. Chou, "The Comparison Between the Graded Photonic Crystal Coupler and Various Couplers", J. Lightwave Technol., vol. 27, p. 2570, 2009.
[8] T. Decoopman, G. Tayeb, S. Enoch, D. Maystre, and B. Gralak, "Photonic Crystal Lens: From Negative Refraction and Negative Index to Negative Permittivity and Permeability", Phys. Rev. Lett., vol. 97, p. 073905, 2006.
[9] C. C. Chen, H. D. Chien, and P. G. Luan, "Photonic crystal beam splitters ",Appl. Opt., vol. 43, p. 6187, 2004.
[10] H. T. Chien, C. C. Chen, and P. G. Luan, "Photonic crystal beam splitters," Opt. Commun., vol. 259, p. 873, 2006.
[11] 邱華恭, "布拉格式反射鏡中空光波導之研究"，國立中央大學，光電科學研究所(2011).
[12] B. Temelkuran, S. D. Hart, G. Benoit, J. D. Joannopoulos, and Y. Fink, "Wavelength-scalable hollow optical fibers with large photonic bandgaps for CO2 laser transmission," Nature, vol. 420, p. 650, 2002.
[13] E. Pone, C. Dubois, N. Guo, Y. Gao, A. Dupuis, F. Boismenu, S. Lacroix, and M. Skorobogatiy, "Drawing of the hollow all-polymer Bragg fibers," Opt. Express, vol. 14, p. 5838, 2006.
[14] G. Bouwmans, F. Luan, J. C. Knight, and P. St. J. Russell, "Properties of a hollow-core photonic bandgap fiber at 850 nm wavelength, "Opt. Express, vol. 11, p. 1613-1620, 2003.
[15] C. M. Smith, N. Venkataraman, M. T. Gallagher, D. Müller, J. A. West, N. F. Borrelli, D. C. Allan, and K. W. Koch, "Low-loss hollow-core silica/air photonic bandgap fiber", Nature, vol. 424, p. 657, 2003.
[16] R. Bernini, S. Campopiano, L. Zeni, and P. M. Sarro, "ARROW optical waveguides based sensors", Sens. Actuators B: Chemical, vol. 100, p. 143, 2004.
[17] J. P. Barber, D. B. Conkey, J. R. Lee, N. B. Hubbard, L. L. Howell, H. Schmidt, and A. R. Hawkins, "Fabrication of Hollow Waveguides with Sacrificial Aluminum Cores", IEEE Photon. Technol. Lett., vol. 17, p. 363, 2005.
[18] D. Yin, J. Barber, A. Hawkins, and H. Schmidt, "Waveguide loss optimization in hollow-core ARROW waveguides", Opt. Express, vol. 13, p. 9331, 2005.
[19] D. Yin, H. Schmidt, J. Barber, and A. Hawkins, "Integrated ARROW waveguides with hollow cores", Opt. Express, vol. 12, p. 2710, 2004.
[20] D. Yin, D. W. Deamer, H. Schmidt, J. P. Barber, and A. R. Hawkins, "Integrated optical waveguides with liquid cores", Appl. Phys. Lett., vol 85, p. 3477, 2004.
[21] S. S. Lo, H. K. Chiu, and C. C. Chen, "Fabricating lower loss hollow optical waveguide via amorphous silicon bonding using dilute KOH solvent", IEEE Photon. Technol. Lett., vol. 17, p. 2592, 2005.
[22] S. S. Lo, M. S. Wang, and C. C. Chen, "Semiconductor hollow optical waveguides formed by omnidirectional reflectors", Opt. Express, vol. 12, p. 6589, 2004.
[23] S. S. Lo, and C. C. Chen, "Air-core hollow optical waveguides with omnidirectional reflectors", Opt. Eng. vol. 45, p. 044601, 2006.
[24] S. S. Lo, C. C. Chen, S. C. Hsu, and C. Y. Liu, "Fabricating hollow optical waveguide for optical communication application", IEEE J. MEMS., vol. 15, p. 584, 2006.
[25] S. S. Lo, and C. C. Chen, "1x2 multimode interference couplers based on semiconductor hollow waveguides formed from omnidirectional reflectors", Opt. Lett., vol. 32, p. 1803, 2007.
[26] M. A. Duguay, Y. Kokubun, T. Koch, and L. Pfeiffer, "Antiresonant reflecting optical waveguides in SiO2-Si multilayer structures", Appl. Phys. Lett., vol. 49, p. 13, 1986.
[27] R. Bernini, E. De Nuccio, A. Minardo, L. Zeni, and P. M. Sarro, "Integrated silicon optical sensors based on hollow core waveguide", presented at the Silicon Photonics II, San Jose, CA, USA, 2007.
[28] E. J. Lunt, B. S. Phillips, C. J. Jones, A. R. Hawkins, P. Measor, S. Kuehn, and H. Schmidt, "Hollow waveguide optimization for fluorescence based detection", presented at the Advanced Fabrication Technologies for Micro/Nano Optics and Photonics, San Jose, CA, USA 2008.
[29] J. B. Shellan, P Agmon, P. Yeh, and A. Yariv, "Statistical analysis of Bragg reflectors", J. Opt. Soc. Am., 68, p. 18, 1978.
[30] O. A. Kocharovskaya, Ya. I. Khanin, "Population trapping and coherent bleaching of a three-level medium by a periodic train of ultrashort pulses", Sov. Phys. JETP., vol. 63, p. 1610, 1986.
[31] K. J. Boller, A. Imamoglu, and S. E. Harris, "Observation of Electromagnetically Induced Transparency", Phys. Rev. Lett., vol. 66, p. 2593, 1991.
[32] 陳應誠、余怡德，"光速減慢至每秒600公尺-原子的電磁波引發透明效應"， 物理雙月刊23卷5期，p.572 (2001年10月).
[33] L. V. Hau, S. E. Harris, Z. Dutton, C. H. Behroozi, "Light speed reduction to 17 meters per second in an ultracold atomic gas", Nature, vol. 397, p. 594, 1999.
[34] T. Baba, "Slow light in photonic crystals", Nature Photonics, vol. 2, p. 465, 2008.
[35] Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, "Guiding Optical Light in Air Using an All-Dielectric Structure", Journal Of Lightwave Technology, vol. 17, p. 2039, 1999.
[36] C. M. Bowden, J. P. Dowling, and H. O. Everitt, "Special issue on development and applications of materials exhibiting photonic band gaps", J. Opt. Soc. Am. B 10-2, p. 280, 1993.
[37] "Photonic Band Gap Materials " (C. M. ed. Soukoulis) (Kluwer, Dordrecht, 1996)
[38] M. Notomi, et al. "Extremely large group-velocity dispersion of line-defect waveguides in photonic crystal slabs", Phys. Rev. Lett. vol. 87, p. 253902, 2001.
[39] D. Mori and T. Baba, "Dispersion-controlled optical group delay device by chirped photonic crystal waveguides ", Appl. Phys. Lett. vol. 85, p. 1101, 2004.
[40] J. H. Chu, O. Voskoboynikov, and C. P. Lee, "Slow light in photonic crystals ", Microelectronics Journal, vol. 36, p. 282, 2005.
[41] K. Ustun and H. Kurt, "Compact coupling of light from conventional photonic wire to slow light waveguides ", J. Appl. Phys. vol. 110, p. 113109, 2011.
[42] M. L. Povinelli, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, "Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide ", Appl. Phys. Lett., vol. 85, p. 1466, 2004.
[43] M. F. Yanik, S. Fan, "Stopping and Storing Light Coherently ", Physical Review A, vol. 71, p.1, 2005.
[44] A. Yariv, and P. Yeh, "Optical waves in crystals ", (J. Wiley & Sons, 1984).
[45] 欒丕綱、陳啟昌, "光子晶體-從蝴蝶翅膀到奈米光子學", (五南圖
書出版股份有限公司, 2006) .
[46] P. Yeh, A. Yariv, and C. S. Hong, "Electromagnetic propagation in periodic stratified media. I. General theory", J. Opt. Soc. Am., vol. 67, p. 423, 1977.
[47] M. Born and E. Wolf, "Principles of Optics(7th Edition) ". (Cambridge University Press, 1999).
[48] E. Hecht, "Optics".(Addison Wesley, 2002).
[49] Y. Kane, "Numerical solution of initial boundary value problems involving maxwell’s equations in isotropic media ", IEEE Trans. Antennas Propagat., vol. 14, p. 302, 1966.
[50] K. K. Kawano, and Tsutomu, "Introduction to Optical Waveguide Analysis: Solving Maxwell’s Equation and the Schrodinger Equation", (J. Wiley & Sons, 2001).
[51] S. Kubo, D. Mori, and T. Baba, "Low-group-velocity and low-dispersion slow light in photonic crystal waveguides", Optics Letters, vol. 32, p. 2981, 2007.
[52] A. R. Shroff and P. M. Fauchet, "Interlaced Coupled-Cavity Waveguide in Photonic Crystal for Low Group Velocity and High Bit-Rate Applications", IEEE International Conference on. IEEE, p. 64, 2006.